An Intuitionistic Model of Single Electron Interference

Studia Logica 95 (1/2):81 - 100 (2010)
The double slit experiment for a massive scalar particle is described using intuitionistic logic with quantum real numbers as the numerical values of the particle's position and momentum. The model assigns physical reality to single quantum particles. Its truth values are given open subsets of state space interpreted as the ontological conditions of a particle. Each condition determines quantum real number values for all the particle's attributes. Questions, unanswerable in the standard theories, concerning the behaviour of single particles in the experiment are answered
Keywords Intuitionistic logic  topoidal Dedekind real numbers
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DOI 10.2307/40783357
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P. T. Johnstone (1982). Topos Theory. Journal of Symbolic Logic 47 (2):448-450.

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